AI 中文总结
研究指出逻辑斯蒂方程对变量定义随意，微分形式存在问题，填补空白会出现不同模型，有微观模型时宏观描述非种群密度方程，而是物质循环或能量流模型，还表明缺乏描述纯生物过程的数学方法。
AI 中文摘要
逻辑斯蒂方程对其变量定义随意，无疑是种群密度。微分形式的逻辑斯蒂方程要求种群过程连续，而在微分形式中，我们不知道时间步间种群发生了什么。填补这些空白时，会出现与逻辑斯蒂方程不同的模型。若有描述个体命运及其相互作用的微观模型，其宏观描述不是种群密度方程（如逻辑斯蒂方程），而是物质循环或能量流模型。我们缺乏描述纯生物过程的数学方法。
英文摘要
The logistic equation treats the definition of its variable freely. It is undoubtedly the population density. The logistic equation in the differential version requires continuity of processes occurring in the population. In the differential version, we do not know what happens to the population between time steps. When filling these gaps, models with features different from the logistic equation appear. If we have a micro-scale model describing the fate of individuals and interactions between them, then the macro description for this model is not the equation for population density (e.g. the logistic equation) but the model of matter circulation or energy flow through this system. We lack mathematics to describe purely biological processes.
Comments9 pages
